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pickupchik [31]
3 years ago
12

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
5 0
Hello : 
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a <span>≠ 0) is :
</span><span>Δ = b² -4ac
1 )  </span>Δ > 0  the equation has two reals solutions : x =  (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ <span>< 0 : no reals solutions
in this exercice : x² = 5-x
x² +x-5 = 0    .... a =1   b= 1   c=-5
calculate </span>Δ..................................
barxatty [35]3 years ago
4 0

Answer:

x_{1}=\frac{-1б 4.58}{2} = 3.58\\\\x_{2}=\frac{-1б -4.58}{2} =-5.58

Step-by-step explanation:

Hello

In elementary algebra, the quadratic formula is the solution of the quadratic equation.

let a polynom

ax^{2} +bx+c=0

this can be solved d by using the quadratic equation formula

x= \frac{-bб \sqrt{b^{2}-4ac } }{2a}

Let

x^{2} =5-x

Step 1

do the equation=0

x^{2} =5-x\\x^{2}+x-5=0

define

a=1\\b=1\\c=-5\\

Sep two

put the values into the equation

x= \frac{-bб \sqrt{b^{2}-4ac } }{2a}\\\\\\x= \frac{-(1)б \sqrt{(1)^{2}-4(1)(-5) } }{2*1}\\x= \frac{-1б \sqrt{1+20 } }{2}\\x= \frac{-1б 4.58}{2}\\\\x_{1}=\frac{-1б 4.58}{2} = 3.58\\\\x_{2}=\frac{-1б -4.58}{2} =-5.58\\\\

Have a good day.

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